Correlation Analysis of Tunnel Deformation and Internal Force in the Earthquake Based on Tunnel Inclination
Abstract
:1. Introduction
2. Dynamic Time-History Analysis of the Shield Tunnel
2.1. Model Calculation Range
2.2. Model Calculation Parameters
2.3. Treatment of Seismic Waves
2.4. Division of the Grid
2.5. Tunnel Seismic Calculation Process
3. Analysis of the Results of Seismic Response Calculations for Metro Tunnels
3.1. Internal Force Response Analysis
3.2. Deformation Response Analysis
3.3. Analysis of the Relationship between the Internal Forces and the Tunnel Inclination
4. Conclusions and Discussion
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Layer No. | Thickness (m) | Unit Weight γ (kN/m3) | c (kPa) | φ (°) | Coefficient of Static Lateral Pressure K0 | Shear Wave Velocity Vs (m/s) |
---|---|---|---|---|---|---|
① | 2 | 18.4 | ||||
② | 10.8 | 18.5 | 4 | 29 | 0.4 | 220.4 |
④ | 5.5 | 17 | 13 | 10.5 | 0.55 | 161.2 |
⑤1 | 3.7 | 17.8 | 14 | 12 | 0.5 | 191.1 |
⑤2 | 9.9 | 18.2 | 4 | 28.5 | 0.4 | 194 |
⑤3 | 16.7 | 18.2 | 14 | 15.5 | 0.47 | 195.1 |
⑧ | 21.4 | 18.4 | 20 | 17.5 | 0.47 | 320 |
Material | Elastic Modulus (MPa) | Poisson’s Ratio |
---|---|---|
C50 Concrete | 3.45 × 104 | 0.18 |
Material | Maximum Frequency of Seismic Waves (Hz) | Shear Wave Velocity (m/s) | Maximum Grid Size (m) |
---|---|---|---|
② | 15 | 220.4 | 1.84 |
④ | 161.2 | 1.34 | |
⑤1 | 191.1 | 1.59 | |
⑤2 | 195.1 | 1.62 | |
⑤3 | 195.1 | 1.63 | |
⑧ | 320 | 2.67 |
169° (Maximum Positive Moment) | 253° (Maximum Negative Moment) | 249° (Maximum Axial Force) | 343° (Minimum Axial Force) | |
---|---|---|---|---|
Maximum bending moment (kNm) | 77.43 | −83.98 | −83.69 | 70.61 |
Minimum Bending Moment (kNm) | 55.07 | −38.94 | −30.81 | 30.89 |
Conventional bending moment (kNm) | 65.49 | −58.48 | −53.98 | 47.80 |
Maximum rate of change of bending moment | 18.2% | 43.6% | 55.0% | 47.7% |
Maximum axial force (kN) | 693.50 | 740.40 | 741.90 | 651.10 |
Minimum axial force (kN) | 677.85 | 717.55 | 715.35 | 629.00 |
Conventional axial force (kN) | 690.60 | 722.30 | 722.25 | 643.90 |
Maximum rate of change of axial force | 1.8% | 2.5% | 2.7% | 2.3% |
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Yang, Z.; Liu, Y.; Chen, C. Correlation Analysis of Tunnel Deformation and Internal Force in the Earthquake Based on Tunnel Inclination. Buildings 2024, 14, 1395. https://doi.org/10.3390/buildings14051395
Yang Z, Liu Y, Chen C. Correlation Analysis of Tunnel Deformation and Internal Force in the Earthquake Based on Tunnel Inclination. Buildings. 2024; 14(5):1395. https://doi.org/10.3390/buildings14051395
Chicago/Turabian StyleYang, Zhiyong, Yin Liu, and Can Chen. 2024. "Correlation Analysis of Tunnel Deformation and Internal Force in the Earthquake Based on Tunnel Inclination" Buildings 14, no. 5: 1395. https://doi.org/10.3390/buildings14051395